SOLUTION: Hi there, I'm having trouble understanding how to go about solving this question; after looking through various examples it still doesn't seem to make any sense to me, so some h

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Question 1065109: Hi there,
I'm having trouble understanding how to go about solving this question; after looking through various examples it still doesn't seem to make any sense to me, so some help would be much appreciated!
Find all the solutions between -2pi and 2pi of the equation:
sin(theta)=1/sqrt(2)
Give all of your answers as exact values in radians
Thank you very much!
Found 2 solutions by MathTherapy, ikleyn:
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Hi there,
I'm having trouble understanding how to go about solving this question; after looking through various examples it still doesn't seem to make any sense to me, so some help would be much appreciated!
Find all the solutions between -2pi and 2pi of the equation:
sin(theta)=1/sqrt(2)
Give all of your answers as exact values in radians
Thank you very much!


 ------ RATIONALIZING denominator

, which is: 

sin is positive (+), so the angles are in the 1st and 2nd quadrants only!

If you still don't understand, then consult the UNIT CIRCLE. 

Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
 .

Corrections to the solution by "MathTherapy"







 ------ RATIONALIZING denominator
, which is: 


All these angles are in 1-st and the 2-nd quadrant.

No positive sine in the 3-rd and 4-th quadrant.





 

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